mitigation of subsynchronous resonance oscillations … · mitigation of subsynchronous resonance...
TRANSCRIPT
IJCTA Vol.8, No.1, Jan-June 2015, Pp.336-344 © International Sciences Press, India
Mitigation of Subsynchronous Resonance Oscillations Using Static Synchronous Series Compensator Mr.J.Sreeranganayakulu1, Dr.G.V.Marutheswar2 and Prof.K.S.R.Anjaneyulu3 1 Assistant Professor, Dept. of EEE, SITAMS, Chittoor, A.P., INDIA 2 Professor, Dept. of EEE, Sri Venkateswara University, Tirupati, A.P., INDIA 3 Principal, JNTU College of Engineering, JNTUA, Anantapuramu, A.P., INDIA Email:-: [email protected] ABSTRACT
Subsynchronous Resonance (SSR) is a serious problem due to series capacitor placement in power system networks which causes uncontrolled oscillations in the mechanical system of a multi mass model [1]. Many models have been developed to mitigate these oscillations which generally occur during a three phase fault on the power system. In this paper IEEE second benchmark system [2] is investigated using MATLAB based on the Power System Block-set (PSB) in conjunction with Simulink. Here, this model is simulated without FACTS controllers and then the Static Synchronous Series Compensator (SSSC) is included in the model and the results are compared for their effectiveness in damping the SSR oscillations. Keywords: FACTS, Sub synchronous Resonance, SSSC, Torsional Oscillations.
1. INTRODUCTION
Worldwide series capacitors have been extensively used for improving power transmission in long distance transmission lines. While it has been known that series capacitors can cause self excited oscillations at low frequencies (due to low X/R ratio) or at Sub synchronous frequencies (due to induction generator effect), the problem of self excited torsional frequency oscillations (due to torsional interactions) was first experienced at Mohave power station in U.S.A. in December 1970 and October 1971. The problem of self excitation due to torsional interaction is a serious problem and led to detailed analysis and study [5].
Subsynchronous resonance is electric power system condition where the electric network exchanges energy with a turbine generator at one or more of the natural frequencies of the combined system below the synchronous frequency of the system [1].
While steady state SSR problem is conveniently studied by the characterization of operating point stability based on small signal analysis, the study of the transient torques requires the consideration of nonlinear models. This is due to the fact that transient torques which can damage shafts arise from large disturbances such as faults and reinsertion of series capacitors.
Tas steadof netwconnectimodel thshafts [2
Ftest castransmis
T hLPB, Ge600 MVBenchm
Tresearchdevelopparallel
Tdenotedparamet
F
There are twdy state SSRwork transie
ion with trhe torsiona
2]. Thus, spe
For the purpes [2-3]. Tssion system
his system cenerator an
VA, 22/500 mark system
Fig 1
This model h paper, a ped in MAT
with the co
This model d as steamters, series c
ig 2: Single
wo aspects R) Transientents is essransient staal dynamicsecial purpo
pose of anaThe multi m is as show
consists of d Exciter. TkV transfo
m.
1: Block Dia
(fig. 2) is detransmissio
TLAB includompensatin
is as showm turbine capacitor, a
e line diagra
of the SSR t torques (asential for ability evas considerin
ose simulati
alysis of SSmass modwn in the fi
6 masses cThese massormer. Fi
agram of th
eveloped inon system ding the St
ng series cap
wn in fig generator
and an infin
am for IEEE
problem. Talso called
the analysaluation is ng multi mion program
SR, IEEE SSdel turbineig 1.
coupled to ses are conng 2 shows
he mechani
n MATLABsimilar to
atic Synchrpacitor [4].
3. This m, a transf
nite bus.
E First benc
These are: Sas transiensis of SSRinadequate
mass rotor rms become
SR task for-generator
the same snected to ththe single
ical multi-m
B and is simIEEE Seco
ronous Seri
model consiformer, br
chmark mo
Self Excitatnt SSR). Sinc
, the simue. Also it representatnecessary.
rce has prepand serie
shaft namelhe transmis
line diagr
mass system
mulated for ond benchmies Compen
ists of mulreaker, tra
del for SSR
tion (also cace the inclu
ulation useis necessarion with el
pared stans compens
ly HP, IP, Lssion line vam of the
m
analysis. Inmark systensator (SSSC
lti mass mnsmission
R analysis
337
alled usion ed in ry to lastic
dard sated
LPA, viz. a First
n this em is C) in
model line
A0.25 secoinserting
0 Tfigure, prescribthe presfrequentangular
Fig 3
Fig 4
A three phaonds with g any FACT
The simulatithe torque
bed limits oscribed limtly may davelocity va
3: MATLAB
4: Generator
se fault is afault reactaTS controlle
ion results e waveformof 2pu and
mits -1.0 anamage the ariations of
B Simulink
r, low press
applied at tance is incler [7].
for the abom between-2 pu and
nd 1.0 durinshaft due tGenerator,
model for
sure, high pwit
the terminaluded [9]. H
ove model an the Gen-that betweng the fauto shaft fat, LP and HP
IEEE First B
pressure turthout SSSC
als of the brHere the m
are as show-LP turbinen LP-HP t
ult period. Ttigue [6]. TP turbines.
Benchmark
rbine outpu
_______________
____________
reaker for amodel is sim
wn in fig 4. Anes oscillatturbines osThis situat
This figure
k System wi
uts with res
_______ dω ( _______ dω (L_______ dω (H
__ T2 (Gen-LP__ T3 (LP-Hp
a time periomulated wit
As shown ines beyondscillates beytion if repealso shows
ithout SSSC
spect to tim
Gen) LP) HP)
P) p)
338
od of thout
n the d the yond eated s the
C
me
FSTATCO
Thcontrollecompenover a reactors,inductivon the D
TSynchroconcept compen
2. OPER
Tconvent
FigCorresp
For minimizOM can be
he Static Syer based on
nsation, justTCSC such, (b) impr
ve and capaDC side to e
The voltagonous Serie
of usingnsation, as w
RATING PR
The basic opional series
g 6. (a) Twoponding ph
zing these oincluded in
ynchronousn VSC andt as a STATh as (a) elroved techacitive operexchange re
ge-source s Compens
g convertewell as for t
Fig
RINCIPLE
perating pris capacitive
o machine phasor diagra
oscillationsn parallel to
s Series Comd can be vieTCOM is anlimination hnical charrating modeeal power w
converter-sator (SSSCer-based teransmission
g 5. Schema
OF SVC
inciples of e compensa
power systeam, (c) Rea
angle c
s FACTS coo the series
mpensator ewed as an
n advanced of bulky p
racteristics es (d) possi
with the AC
-based seC), was proechnology n angle con
atic diagram
the SSSC caation of Fig
em with seral power ancharacterist
ontrollers licapacitor.
(SSSC) is an advancedSVC. A SSSpassive co
(c) symmibility of co
C network.
eries comoposed by G
uniformlyntrol.
m of SSSC
an be explagure 5.
ries capacitind series captics
ike UPFC,
a series cond type of coSC has sevemponents
metric capannecting an
mpensator, Gyugyi in 1y for shu
ained with
ive compenpacitor reac
SSSC, SVC
nnected FAontrolled seral advantcapacitors
ability in n energy so
called S1989 within
unt and s
reference to
nsation, (b) ctive power
339
C and
ACTS series tages
and both
ource
Static n the series
o the
r vs.
340
Fig 7. Basic two-machine system with a series capacitor compensated and associated phasor diagram.
SSSC is shown simplified in Figures 6 & 7 together with the relative voltage phasor diagram. The phasor diagram clearly shows that at a given line current the voltage across the series capacitor forces the opposite polarity voltage across the series line reactance to increase by the magnitude of the capacitor voltage.
Fig 8. Second Benchmark model with static synchronous series compensator (sssc)
Tshown in
Fthat the to lie wireduced
3. RESU
Ththe peakof SSSC
Fig 9. G
The simulatn Fig 8. He
Fig. 9 showsSSR oscilla
ithin 1 p.u. d and hence
ULTS
he simulatiok torque vawhen comp
enerator, lo
tion circuit re SSSC is i
s the simulaations betwThis graph
e the torque
on results aalues and thpared to th
ow pressure
for the IEEincluded in
ation resulteen LP-HP
h indicates te remains w
are tabulatehe speed d
he case of no
e, high presSSS
EE second n the model
ts of the abP turbines arthat with in
within the p
ed as showdeviations aot including
ssure turbinSC included
benchmarkl.
ove model.re graduallnclusion of rescribed li
wn in Table are gradualg SSSC.
ne outputs d
_______________
__________
k model in
. This figurly decreasedSSSC the Simits.
1. It clearlylly reduced
with respec
_______ dω (_______ dω (_______ dω (
___ T2 (Gen-L___ T3 (LP-Hp
MATLAB
re clearly shd and are m
SSR current
y indicatesd with inclu
ct to time w
( Gen) (LP) (HP)
P) p)
341
is as
hows made ts are
s that usion
when
342
Table 1. Peak Torques and speed deviations of the two cases
4. CONCLUSIONS
This paper illustrates the effectiveness of SSSC in damping the sub synchronous resonance oscillations observed in large multi mass model consisting various turbines, exciter and synchronous generator. Here, two cases are investigated i.e. without and with the inclusion of SSSC. These results clearly show that the without SSSC the oscillations in the mechanical system are between -2.4pu and 2.5 pu between generator-LP turbines and between -1.1pu and 1.15 between LP-HP turbines. With the inclusion of SSSC the oscillations were can reduced to -0.89pu and 0.97 between the turbine generator and -0.45 and 0.54 between LP-HP turbines. Also the change in angular velocity is also reduced which can be observed from graph and table 1. Hence the performance of the network is improved due to inclusion of SSSC.
Appendix
AC System Parameters:
System Voltage: 500 kV
System frequency: 50 Hz
1. Parameters of both the Transmission lines
(3 phase):
Resistance/km : 0.02 ohm,
Inductance/km : 0.9 H
Capacitance/km: 13 µF,
Case
Gen-LP Torque (p.u.)
LP-HP Torque (p.u.)
dω (Gen) p.u.
dω (LP) pu
dω (HP) pu
Min
Max
Min
Max
Min
Max
Min
Max
Min
Max
Without SSSC
-2.4 2.5 -1.1 1.15 -0.012 0.0097 -0.0072 0.0058 -0.0145 0.0145
With SSSC
-0.89 0.97 -0.45 0.54 -0.006 0.008 -0.0025 0.0034 -0.0061 0.0062
343
Length of Transmission Line: 200 km Capacitive reactance: 30% of inductive reactance.
2. Data of Synchronous Generator ( 3 phase, round rotor ):
Nominal Power: 600MVA
L-L voltage: 22 kV
Reactances: Xd = 1.65, Xd’ = 0.25, Xd’’ = 0.2, Xq = 1.59, Xq’= 0.46, Xq’’=0.2
D- axis time constant : open circuit
q- axis time constant : open circuit
Time Constant:
Tdo’= 4.5 sec,Tdo’’= 0.04 sec,
Tqo’= 0.67 sec,Tqo’’= 0.09 sec
Stator resistance= 0.0045 pu
3. Power Transformer (Delta/Star):
Nominal Power: 600 MVA( 3 phase )
Rated voltage: 22kV/500kV (Line-Line)
REFERENCES
[1] IEEE SSR working group, “proposed terms and definitions for sub synchronous resonance,” IEEE symposium on countermeasures for sub synchronous resonance, IEEE Pub.81TH0, p086-9-PWR,1981 p 92-97.
[2] IEEE SSR working group,”First benchmark model for computer simulation of sub synchronous resonance“.IEEE transactions on power apparatus and systems, vol. PAS-96, pp. 1565-1572,September/october 1977.
[3] IEEE SSR working group,”Second benchmark model for computer simulation of sub synchronous resonance “.IEEE transactions on power apparatus and systems, vol. PAS-104, pp. 1057-1066,may 1985.
[4] Dr. Narendra Kumar, Sanjiv Kumar and Vipin Jain, “Damping Sub synchronous Oscillations In power system using shunt and series connected FACTS controllers”, IEEE transactions on power delivery, vol.2, Sep 2010.
[5] P.M. Anderson, B.L. Agrawal, J.E. Van Ness, “Sub synchronous Resonance in Power Systems”, IEEE Press, New York, 1990, pp.31-93.
[6] P. Kundur, Power System Stability and Control, EPRI Power System Engineering Series, New York, McGraw-Hill Inc., 1994.
344
[7] N.G. Hingorani & L. Gyugyi, ”Understanding of FACTS”, IEEE Press.
[8] J.Guo, M.L.Crow, J.Sarangapani “An improved UPFC Control for Oscillation Damping” IEEE Transactions on Power Systems, Vol. 24,No. 1, Feb. 2009,pp.288 – 296.
[9] J.Sreeranganayakulu, N.Chinna Alluraiah, “Simulation of first benchmark model for analysis of sub synchronous resonance in power systems using SEQUEL”, International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 National Conference on Recent Advances in Power and Control Engineering (RAPCE-2011), Dec 2011.